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2 years ago

I need to know the answers i don’t get any of this and i need to pass this class

Mathematics

2 answers:

Pani-rosa [81]2 years ago

6 0

Answer:

1) 38

2) 36

3) 39

4) 55

Step-by-step explanation:

A straight line has an angle of 180 degrees. To find the answer to each one, you simply subtract the known angle from 180. For example, 180 - 142 = 38. The answer is the missing angle! Hope this Helps!

tiny-mole [99]2 years ago

4 0

Answer:

1. 38° 2. 36° 3. 39° 4. 55°

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Svetradugi [14.3K]

The value of the variable 'x' in the first case and the second case will be 9° and 1.

<h3>What is a parallelogram?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. And the sum of the adjacent angles is 180°.

In part 61, the equation is given as,

100° + 9x - 1° = 180°

Simplify the equation, then we have

9x + 99° = 180°

9x = 81°

x = 9°

In part 62, the equation is given as,

22x - 1 = 21

Simplify the equation, then we have

22x - 1 = 21

22x = 22

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The value of the variable 'x' in the first case and the second case will be 9° and 1.

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brainly.com/question/1563728

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Ostrovityanka [42]

Answer:

a) $\bar X = 121.4$

b) $SE = \frac{\sigma}{\sqrt{n}}= \frac{15}{\sqrt{40}}=2.372$

c) $121.4-1.64\frac{15}{\sqrt{40}}=117.51$

$121.4+1.64\frac{15}{\sqrt{40}}=125.29$

Step-by-step explanation:

Data given: 126,111,141,96,123,115,116,113,127,114,122,116,104,126,126,132,139,111,143,121,119,107,154,125,120,135,142,132,94,103,143,115,132,107,118,105,101,135,94,153

Part a

For this case we can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And after replace we got:

$\bar X = 121.4$

Part b

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

For this case we assume that the population deviation is $\sigma=15$ , we can calculate the standard error with this formula:

$SE = \frac{\sigma}{\sqrt{n}}= \frac{15}{\sqrt{40}}=2.372$

Part c

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$